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NURBS Modeling

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Title: NURBS Modeling


1
AutoCAD Basics Foundations and 2D drawings
7E300 International CA(A)D-course
www.ds.arch.tue.nl/education/courses/CAD_Internat
ional/
2
Overview
  • Introduction to CA(A)D-Packages
  • The promise
  • The real world
  • CA(A)D by Example AutoCAD ADT
  • History
  • System architecture
  • Basic Geometry
  • Coordinate systems
  • Basic transformations
  • Geometric primitives
  • Construction aids
  • Manual entry
  • Snaps
  • Alignments

3
Overview continued
  • Construction methods
  • Manipulation methods
  • Printing
  • Getting help

4
Overview continued
  • 2nd lecture (Friday)
  • 3D geometry types
  • Intelligent composite Objects
  • Architectural objects and helpers
  • Dimensioning
  • Printing
  • Rendering
  • Export

5
Goals
  • Give an overview of the topics involved
  • Give introduction to most basic modeling/drawing
    techniques
  • Give advise for self-study
  • Give introduction to AutoCAD/ADT

6
Building model paradigm
  • Building is designed assembling different objects
  • Every object of the building has a set of
    properties that can be interpreted in different
    contexts
  • Geometrical representations (i.e. drawings) are
    only one of many aspects. Drawings can be
    generated dynamically from existing data
  • Different domains (structural engineering,
    building physics etc.) have different views on
    building model

7
Building model paradigm
  • Advantages
  • intelligent applications can gather all sorts
    of data (room sizes, material lists etc.) from a
    well defined model
  • Dependent drawings such as sections do not have
    to be redrawn on changes but automatically adapt

8
Building model paradigm
  • Problems
  • Additional (non-graphical) information has to be
    provided by architect
  • Coherency when changing objects
  • Object relations have to be designed
  • Complexity with all data required often cannot
    not be generated at design time

9
Future developments
  • Architect as building programmer?
  • Advanced input techniques
  • Virtual/Augmented reality
  • Intelligent recognition handmade drawings
  • Voice recognition
  • Reuse of design strategies
  • Better compatibility through open standards (IFC
    etc.)
  • Finally Paperless office at last?

10
Introduction to CA(A)D packages
  • The promises
  • Let repetitive work be done by the machine
  • Draw more exactly
  • Draw quicker
  • Concentrate on the building instead of the
    drawing
  • Let drawings be generated from a n-dimensional
    building model
  • Get rid of paper by electronic documents
  • Accelerate cooperative work in the whole building
    cycle by reusing documents under domain-specific
    aspects
  • Let intelligent functionality take care of easy
    tasks

11
Introduction to CA(A)D packages
  • The real world
  • CA(A)D in most cases used as 2D pen and paper
  • Additional information required for building
    model seldom provided by architect
  • Document exchange critical due to lack of
    standards
  • Applications not error-prone
  • Functionality for architecture domain limited

12
CAAD applications in the architectural domain
Marketshare CAAD-packages (Germany 2003)
according to online survey on www.aecweb.de
13
CA(A)D by example AutoCAD ADT
  • History
  • 1960 Ivan Sutherland SKETCHPAD
  • 1982 AutoCAD 1.0 introduced on COMDEX
  • 1985 AutoCAD 2.1 (R 6) goes 3D
  • 1986 AutoLISP
  • 1992 R 12 with new Solid kernel rendering
  • 1993 R 12 goes Windows
  • 1997 R 14 most important version ever
  • 1998 ADT on R 14
  • 2000 AutoCAD 2000

14
CA(A)D by example AutoCAD ADT
  • System Architecture (very simplified)

End User
VisualizationOpenGL / D3D
ADT UI
Standard AutoCAD UI
API (C/C, LISP, VB etc.)
Geometry Kernel
Operating System
15
Elemental Computer Graphics
  • Coordinate Systems
  • Almost all CAD-applications based on
    three-dimensional Cartesian system with
    right-hand orientation

Image source http//www.vard.org/mono/gait/soutas
.htm
Image source http//en.wikipedia.org/wiki/Cartesi
an_coordinate_system
16
Elemental Computer Graphics
  • Coordinate Systems can be modified
  • Global for the entire scene/world (WCS in
    ACAD)
  • Local to an object / arbitrarily chosen by user
    (UCS in ACAD)

Global (WCS)
Local (UCS)
17
Elemental Computer Graphics
  • Units
  • Internal units and precision fixed and limited by
    machine and application
  • Real-world units (m, mm, ft, inches) can be
    applied arbitrarily suiting own needs
  • Be careful when exchanging data!
  • Choice of units affects dimensioning, text,
    hatches and line weights in ACAD!
  • Although units can be changed later, conversion
    problems esp. apply to switch between
    metric/imperial

18
Elemental Computer Graphics
  • Basic transformations
  • Translate (move)
  • Rotate
  • Scale

19
Basic geometry
  • Translation
  • Absolute Set coordinates directly in current
    coordinate systemExampleMove absolute
    5,1(ACAD move5,1)

20
Basic geometry
  • Translation
  • Relative Set coordinates relative to current
    location in current coordinate systemExample
    Translate relative 5,1(ACAD move_at_5,1)

21
Basic geometry
  • Rotation
  • Centered to object

22
Basic geometry
  • Rotation
  • Off-center rotation

23
Basic geometry
  • Scale
  • Uniform scaleExample Factor 0.5 and 2

24
Basic geometry
  • Scale
  • Non-Uniform scale(Achieved by Stretch command
    in ACAD or by scaling blocks)

25
Geometric primitives
  • Geometric primitives 2D
  • Point (Vertex)
  • Elemental type for all other geometry
  • Often used as construction aid

26
Geometric primitives
  • Line
  • Elemental type used to assemble other geometry
    types
  • Composed geometry (rectangle etc.) can be broken
    down to lines

27
Geometric primitives
  • Conic sections
  • Circles, arcs, ellipses, parabolas and hyperbolas
    are composed of conic sections
  • Granularity may be important for printing

Image-source Mathworld.Wolfram.com
28
Geometric primitives
  • Circle
  • May often be constructed in many different ways
  • Radius
  • Diameter
  • 3 Points
  • 2 Tangents radius
  • etc

29
Geometric primitives
  • Arc
  • Fraction of circle
  • Can be used to construct complex curvedshapes by
    composition

30
Geometric primitives
  • Parametric curves Bézier spline
  • Historically eldest of the free-form curves with
    some limitations
  • Control vertices, control polygon

31
Geometric primitives
  • Parametric curves B-spline
  • Better control over curve
  • Found in many applications

32
Geometric primitives
  • Parametric curves NURBS
  • Non Uniform Rational B-Spline
  • Used by Autocad, most flexible
  • X,Y,Z,W coordinates for control points

33
Geometric primitives
  • Pattern, hatches, fillings
  • Can only by applied to closed shapes (regions
    in ACAD, sort of 2D solids (more later on))

34
Geometric primitives
  • Pattern, hatches, fillings (continued)
  • Modern applications offer associative fillings

35
Basic operations
  • Copy
  • Creates one or more copies of a geometry or
    groups
  • Definition of base point can be used for proper
    placement

36
Basic operations
  • Array copy
  • Multiple copies in rectangular or polar (rotated)
    series

37
Basic operations
  • Mirror
  • Mirror using a mirror axis

38
Basic operations
  • Extend
  • Extend lines to arbitrary boundaries

39
Basic operations
  • Trim
  • Use arbitrary boundaries to cut away geometry

40
Basic operations
  • Break
  • Use two arbitrary boundaries to cut away geometry
    in-between

41
Basic operations
  • Stretch
  • Lengthen/shorten/scale/distort parts of
    geometries with some parts staying fixed

42
Coordinate entry ACAD
  • Directly enter coordinates into the WCS or
    current UCS by a comma-separated list with
    arbitrary precision
  • Examples for single points/vertices1, 2.0,
    .3relative to last point _at_1,2,3.01

43
Coordinate entry ACAD
  • Angular data entryDirection lt
    DistanceExample 5 units long line pointing to
    right in default WCS90lt5.0

44
Operation and selection
  • Order of operation in ACAD
  • Most command can either be invoked
  • Verb object (state operation first and select
    objects to apply it to later on)
  • Object verb (Select objects and state which
    operation to carry out)
  • The default method (if no other command
    explicitly invoked) in ACAD always is set to
    selection

45
Operation and selection
  • Selection in ACAD
  • Objects can be selected by
  • Pick single objects in succession (picking them
    again de-selects them
  • Drag rectangle from up-left to down right to
    select all objects inside rectangle
  • Drag rectangle form down-right to up-left to
    select those that are either inside or touched by
    selection rectangle

46
Operation and selection
  • Transparent operations
  • While in the middle of a command sequence, the
    current command can be suspended for later finish
    in order to carry out in-between steps
  • Most typical examples are the different viewing
    command (zoom, pan, change perspective etc)
  • On the command line transparent mode of a command
    is activated by putting a in front of the
    command statement

47
Visual assistance
  • Ortho mode only rectangular movements of mouse
    possible
  • Snapping Catch i.e. one of the following points
    of existing geometry
  • Endpoint
  • Midpoint
  • Center
  • Tangent
  • Perpendicular
  • Nearest (point on line/curve)

48
Visual assistance
  • OSnap trackingVisual indication of graphic
    cursor such as
  • Parallel to existing line
  • Apparent intersection of two lines
  • Point on virtual extension of existing line
  • Grid Virtual points in drawing space. When put
    into exclusive Grid-snap mode only these point
    can be chosen with the pointing device to
    construct geometry

49
Structuring drawings
  • Color / Line weight / Linetype
  • Historical method
  • Limited to specific set of colors in most
    applications
  • Might interfere with output needs
  • Colors not always distinguishable very well

50
Structuring drawings
  • Blocks / groups
  • Complete parts made easily available for reuse
  • Manipulate complex parts applying modifications
    only to on object

51
Structuring drawings
  • Layers
  • Easy metaphor for architects (stacked transparent
    paper)
  • Easy to handle
  • Unlimited granularity

52
Structuring drawings
  • XRefs / inclusions
  • Drawing split into smaller entities/files which
    are composed into a single drawing
  • Especially well-suited for group work (different
    members may simultaneously work on different
    parts of the building in different files
  • Often problematic when moving to other machines /
    working environments

53
Standard exchange formats
  • DWG
  • Proprietary Autodesk format with frequent changes
  • Can be im-/exported by many applications
  • Features advanced geometry (Solids etc.)
  • Can be extended by 3rd party applications

54
Standard exchange formats
  • DXF
  • Most established, open standard for data exchange
    to date, interfaces build into many applications
  • Human readable ASCII format
  • Limited set of geometry and information
  • Only faces/polygons supported
  • No advanced geometry such as solids and NURBS

55
Standard exchange formats
  • IFC
  • Developed to suit needs of building industry
  • Open
  • Extendable
  • Lots of advanced meta-data storable
  • Not widely supported (yet/anymore)
  • Under development / constant change
  • XML-version human readable and easy to integrate
    for collaboration with other applications

56
Assignment 1
  • Turn in on 21.03.04 by either creating a webpage
    and notify me or directly send to (please zip
    files)j.beetz_at_bwk.tue.nl
  • Please document your work progress and hand in
    questions that will be answered in class on
    Friday
  • If need support also available on ICQ/Yahoo

57
Assignment 1
  • Please check
  • http//www.ds.arch.tue.nl/education/courses/CAD_in
    ternational/
  • Frequently. You will find material, assignments
    and schedule updates here.
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